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What is the class in π 4(S 3) 2\pi_4(S^3) \simeq \mathbb{Z}_2 of the map

S S ( im) q qvq¯ \array{ S^{\mathbb{H}} &\longrightarrow& S^{\left(\mathbb{H}_{im}\right)} \\ q &\mapsto& q v \bar q }

where v im{0}v \in \mathbb{H}_{im} \setminus \{0\} is any non-zero imaginary quaternion?


An XY-Matrix diagram:

\begin{tikzpicture}

\draw (0,0) -- (2,0) -- (2,-2);

\end{tikzpicture}

cellular model

Last revised on February 16, 2019 at 10:19:40. See the history of this page for a list of all contributions to it.